Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions

In this paper, we prove new complete monotonicity properties of some functions related to generalized k -gamma and k -polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving the k -generalized digamma and polygamma fu...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2020; no. 1; pp. 1 - 12
Main Authors Zhang, Ju-Mei, Yin, Li, You, Hong-Lian
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 30.01.2020
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Complete monotonicity
Generalized k-gamma and k-polygamma functions
Inequalities
Inequality
Mathematics
Mathematics and Statistics
33B15
26A51
gamma and
26A48
polygamma functions
Generalized
Complete monotonicity
Inequality
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Summary:In this paper, we prove new complete monotonicity properties of some functions related to generalized k -gamma and k -polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving the k -generalized digamma and polygamma functions.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-2287-0